Central limit theorem for Artin L-functions

DOI10.1142/S1793042117500014zbMath1455.11131arXiv1506.07416OpenAlexW2963269808MaRDI QIDQ3179499

Peter Jaehyun Cho, Henry H. Kim

Publication date: 21 December 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07416

zbMATH Keywords

central limit theoremArtin \(L\)-functions\(G\)-field

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (9)

Universality of Artin \(L\)-functions in conductor aspect ⋮ Moments of logarithmic derivatives of \(L\)-functions ⋮ Extreme residues of Dedekind zeta functions ⋮ Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\) ⋮ Some notes on distribution of Hecke eigenvalues for Maass cusp forms ⋮ Minimal generators of the ideal class group ⋮ Central limit theorems for sums of quadratic characters, Hecke eigenforms, and elliptic curves ⋮ Low lying zeros of Artin \(L\)-functions ⋮ Analytic ranks of elliptic curves over number fields

Cites Work

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• COUNTING -FIELDS WITH A POWER SAVING ERROR TERM
• n-Level Densities of ArtinL-Functions
• Distribution of Hecke eigenvalues
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝

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